| Document Type
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BL
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| Record Number
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1035135
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| Doc. No
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b789505
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| Main Entry
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Jacob, Niels.
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| Title & Author
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Generators and their potential theory /\ N. Jacob.
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| Publication Statement
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London :: Imperial College Press,, ©2002.
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| Series Statement
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Pseudo differential operators & Markov processes ;; v. 2
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| Page. NO
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1 online resource (xxii, 453 pages).
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| ISBN
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1860949568
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: 9781860949562
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1860943241
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9781860943249
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9781860949562
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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""Contents ""; ""Preface ""; ""Notation ""; ""General Notation ""; ""Functions and Distributions ""; ""Measures and Integrals ""; ""Spaces of Functions Measures and Distributions ""; ""Some Families of Functions ""; ""Norms Scalar Products and Seminorms ""
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""1 Introduction """"2 Generators of Feller and Sub-Markovian Semigroups ""; ""2.1 Second Order Elliptic Differential Operators as Generators of Feller and Sub-Markovian Semigroups ""
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""Notation from Functional Analysis Operators """"Notations related to Pseudo-Differential Operators ""; ""Notations related to Potential Theory and Harmonic Analysis ""; ""Introduction: Pseudo-Differential Operators and Markov Processes ""; ""II Generators and Their Potential Theory ""
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| Abstract
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In this volume two topics are discussed: the construction of Feller and Lp-sub-Markovian semigroups by starting with a pseudo-differential operator, and the potential theory of these semigroups and their generators. The first part of the text essentially discusses the analysis of pseudo-differential operators with negative definite symbols and develops a symbolic calculus; in addition, it deals with special approaches, such as subordination in the sense of Bochner. The second part handles capacities, function spaces associated with continuous negative definite functions, Lp -sub-Markovian sem.
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| Subject
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Potential theory (Mathematics)
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| Subject
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Pseudodifferential operators.
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Semigroups of operators.
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MATHEMATICS-- Functional Analysis.
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| Subject
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Potential theory (Mathematics)
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| Subject
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Pseudodifferential operators.
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| Subject
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Semigroups of operators.
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| Dewey Classification
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515.7242
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| LC Classification
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QA329.7.J336 2002eb
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